For an equivariantly formal action of a compact torus $ T $ on a smooth manifold $ X $ with
isolated fixed points we investigate the global homological properties of the graded poset …

In the focus of our paper is a system of axioms that serves as a basis for introducing
structural data for $(2n, k) $-manifolds $ M^{2n} $, where $ M^{2n} $ is a smooth, compact …

Let a compact torus T= T n-1 act on an orientable smooth compact manifold X= X 2 n
effectively, with nonempty finite set of fixed points, and suppose that stabilizers of all points …

It follows from the GKM description of equivariant cohomology that the GKM graph of a GKM
manifold has free equivariant graph cohomology, and satisfies a Poincar\'e duality condition …

We describe of the topology of the geometric quotients of 2 n-dimensional compact
connected symplectic manifolds with (n− 1)-dimensional torus actions. When the isotropy …

For an effective action of a compact torus T on a smooth compact manifold X with nonempty
finite set of fixed points, the number 1 2\dim X-\dim T 1 2 dim X-dim T is called the complexity …

In this paper we study a specific class of actions of a $2 $-torus $\mathbb {Z} _2^ k $ on
manifolds, namely, the actions of complexity one in general position. We describe the orbit …

arXiv:1904.13301v3 [math.AG] 20 Oct 2019 Page 1 arXiv:1904.13301v3 [math.AG] 20 Oct 2019
TORIC TOPOLOGY OF THE GRASSMANNIAN OF PLANES IN C5 AND THE DEL PEZZO …

Let the compact torus $ T^{n-1} $ act on a smooth compact manifold $ X^{2n} $ effectively
with nonempty finite set of fixed points. We pose the question: what can be said about the …

The family of the complex Grassmann manifolds $ G_ {n, k} $ with a canonical action of the
torus $ T^ n=\mathbb {T}^{n} $ and the analogue of the moment map $\mu: G_ {n, k}\to\Delta …